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UPCAT Mathematics practice question 48: Maria is three times as old as her son. In 12 years she will be twice as old as he is then. How old is Maria now?

Correct answer

D. 36

Let the son be s, so Maria is 3s. Then 3s + 12 = 2(s + 12), which gives 3s + 12 = 2s + 24 and s = 12. Maria is 36.

The question

Maria is three times as old as her son. In 12 years she will be twice as old as he is then. How old is Maria now?

  1. Option A: 12
  2. Option B: 24
  3. Option C: 48
  4. Option D: 36Correct

Why D is correct

Let the son be s, so Maria is 3s. Then 3s + 12 = 2(s + 12), which gives 3s + 12 = 2s + 24 and s = 12. Maria is 36.

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